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Finding the Fourth Proportional to 3,089.80, 4,641.06 and 1,859.56

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Solution

The fourth proportional to 3,089.80, 4,641.06 and 1,859.56 is: 2,793.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.80 : 4,641.06 = 1,859.56 : x
  2. Step 2: Convert to fraction form
    3,089.80/4,641.06 = 1,859.56/x
  3. Step 3: Cross multiply
    3,089.80x = 4,641.06 × 1,859.56
  4. Step 4: Simplify right side
    3,089.80x = 8,630,329.53
  5. Step 5: Solve for x
    x = 8,630,329.53/3,089.80
  6. Step 6: Final answer
    x = 2,793.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.